Question

Answer 1

a: 2x(x-5)-x(2x+3)=26

=>\(2x^2-10x-2x^2-3x=26\)

=>-13x=26

=>x=-2

b: \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)

=>\(10x-16-12x+15=12x-16+11\)

=>\(12x-5=-2x-1\)

=>\(14x=4\)

=>\(x=\dfrac{2}{7}\)

c: \(5x\left(1-2x\right)-3x\left(x+18\right)=0\)

=>\(5x-10x^2-3x^2-54x=0\)

=>\(-13x^2-49x=0\)

=>\(x\left(13x+49\right)=0\)

=>\(\left[{}\begin{matrix}x=0\\x=-\dfrac{49}{13}\end{matrix}\right.\)

d: \(3x\left(x-2\right)-3\left(x^2+1\right)=x+1-x\left(x-2\right)\)

=>\(3x^2-6x-3x^2-3=x+1-x^2+2x\)

=>\(-6x-3=-x^2+3x+1\)

=>\(-6x-3+x^2-3x-1=0\)

=>\(x^2-9x-4=0\)

=>\(x=\dfrac{9\pm\sqrt{97}}{2}\)